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Question
Determine whether the sum to infinity of the following G.P’.s exist. If exists, find it:
`-3, 1, (-1)/3, 1/9`, ...
Sum
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Solution
`-3, 1, (-1)/3, 1/9`, ...
a = – 3, r = `-1/3`
Since, | r | = `|-1/3| < 1`
∴ Sum to infinity exists.
Sum to infinity = `"a"/(1 - "r") = (-3)/(1 - (-1/3)) = -9/4`
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